Force and acceleration are in phase yet work requires force and velocity in phase
Evidence
Resonance for an oscillator corresponds to alignment (in-phase condition) of force and velocity. But force causes acceleration, which increases the velocity, so resonance corresponds to constructive addition of velocity to preexisting velocity. This applies universally, to a single oscillator, a complex structure such as a string, a membrane, a plate, a solid, and even to air. — Eric J. Heller, Why You Hear What You Hear- An…, 1012 (
#expands, via linked claim)
Categorization
- XREF: connects to: Resonance is universal constructive addition of force-driven velocity — Eric J. Heller, Why You Hear What You Hear- An…, 1012; Boom-producing surface motion involves extreme acceleration but modest velocity
Related
- Resonance is universal constructive addition of force-driven velocity (similarity 0.92)
- Resonance is one universal phenomenon across all wave types involving structure, drive, and phase (similarity 0.85)
- Velocity response is the convenient quantity for impulse power (similarity 0.85)
- Resonance occurs when the driving force and velocity align in phase (similarity 0.85)
- Vortex shedding causes violent oscillation through cooperative lockin resonance (similarity 0.84)
- Resonance requires confined old amplitude returning in phase with fresh drive amplitude (similarity 0.83)
- Every level of the physical universe is vibrational or wavelike (similarity 0.82)
- A small piston still radiates sound because velocity is slightly in phase with force (similarity 0.80)
- Sound pressure and particle velocity components are always in phase (similarity 0.79)
- Boom-producing surface motion involves extreme acceleration but modest velocity (similarity 0.79)
- Sound pressure is in phase with molecular velocity, not with displacement (similarity 0.78)
- All resonance reduces to structure, drive, and in-phase response (similarity 0.78)
Broader Connections
- Boom-producing surface motion involves extreme acceleration but modest velocity
#exemplifies(0.75) - Resonance is universal constructive addition of force-driven velocity
#expands(0.72) — Eric J. Heller, Why You Hear What You Hear- An…, 1012